Subjects MATHEMATICS

No Rounding

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No Rounding


Problem statement: The user requests that intermediate calculations not be rounded until the final answer. 1. I will keep exact values and symbolic expressions throughout the solution, and only round at the final step if you ask for a rounded form. 2. I will represent rational numbers as fractions, radicals as symbols, and carry exact arithmetic through intermediate steps. 3. Example demonstration: Compute $\frac{2}{3}+\frac{1}{6}$ without rounding. 3.1 Find a common denominator and convert: $\frac{2}{3}=\frac{4}{6}$. 3.2 Add the fractions: $\frac{4}{6}+\frac{1}{6}=\frac{5}{6}$. 3.3 Present the final exact result: $\frac{5}{6}$. 3.4 If a decimal rounded final answer is requested, provide it only at the end; for example, to 3 decimal places the final rounded value is $0.833$. 4. Confirmation: I will not round intermediate steps and will show exact intermediate expressions unless you tell me a preferred rounding for the final answer. Final answer: I will not round until the final answer; demonstrated final exact result for the example is $\frac{5}{6}$.